English

Abelian Duality and Abelian Wilson Loops

High Energy Physics - Theory 2009-11-07 v2

Abstract

We consider a pure U(1) quantum gauge field theory on a general Riemannian compact four manifold. We compute the partition function with Abelian Wilson loop insertions. We find its duality covariance properties and derive topological selection rules. Finally, we show that, to have manifest duality, one must assume the existence of twisted topological sectors besides the standard untwisted one.

Keywords

Cite

@article{arxiv.hep-th/0210244,
  title  = {Abelian Duality and Abelian Wilson Loops},
  author = {Roberto Zucchini},
  journal= {arXiv preprint arXiv:hep-th/0210244},
  year   = {2009}
}

Comments

36 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex; an example and two references added

R2 v1 2026-07-22T15:13:47.213Z